{"uid":"cap_lY3ip6DGAjUGF2T5rVWSf","slug":"macaroon-network-vortx-pinn-solver-fdd7ea2c","name":"Macaroon Network VORTX-PINN Solver","description":"A marketplace where autonomous agents discover, pay for, and buy live data and scientific capabilities over Bitcoin Lightning.","url":"https://api.macaroonnetwork.com/execute/vortx-pinn-v1","method":"POST","headers":{},"bodySchema":{"type":"object","$schema":"https://json-schema.org/draft/2020-12/schema","required":["input"],"properties":{"input":{"type":"object","required":["type","method","bodyType","body"],"properties":{"body":{"type":"object"},"type":{"type":"string","const":"http"},"method":{"enum":["POST","PUT","PATCH"],"type":"string"},"bodyType":{"enum":["json","form-data","text"],"type":"string"}},"additionalProperties":false},"output":{"type":"object","required":["type"],"properties":{"type":{"type":"string"},"example":{"type":"object"}}}}},"responseSchema":{"type":"json","example":{"payload":{"solution":null,"provenance":null,"validation":null,"residual_loss":0},"settled":true,"predicate_passed":true}},"example":null,"exampleRequest":null,"tags":["x402"],"displayCostAmount":"29","displayCostAsset":"USDC","priceDynamic":false,"priceHint":null,"priceStatus":"priced","priceSource":"probe","requiresHandshake":false,"reviewCount":0,"rating":{"score":"0.00","successRate":"0.00","reviews":0,"stars":null,"state":"unrated"},"availabilityStatus":"unknown","priceObserved":null,"sessionDeposit":null,"pricing":{"kind":"static","summary":"$29/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"29","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"29","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm_27OOccLj8LN16qmlBSU8A","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"29","costPer":"request","priority":0,"asset":"0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913","unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"Executes a physics-informed neural network (PINN) solver via the VORTX-PINN-v1 model, returning a numerical solution, provenance record, validation metrics, and residual loss over Bitcoin Lightning payment.","exampleAgentPrompt":"Run the VORTX-PINN-v1 solver on my Navier-Stokes vortex problem — send it as a JSON POST body with my boundary conditions and return the solution, residual loss, and provenance.","exampleUseCases":[{"title":"Fluid dynamics vortex simulation","prompt":"I need to solve a 2D vortex flow problem using the VORTX PINN model — can you submit my boundary condition and initial condition parameters as a JSON body and get back the numerical solution and residual loss?"},{"title":"PDE solution with provenance for research","prompt":"Submit my partial differential equation parameters to the VORTX-PINN-v1 endpoint and return the full result including the provenance record and validation metrics so I can cite it in my paper."},{"title":"Autonomous agent scientific pipeline","prompt":"Call the VORTX-PINN solver with the physics problem spec I've defined — I need the settled payment confirmation, solution output, and residual loss to continue my automated simulation pipeline."}],"resultDescription":"A JSON payload containing: solution (the computed numerical result or null), provenance (traceability/attribution record or null), validation (validation metrics or null), residual_loss (a float indicating how well the neural network satisfied the governing equations), plus settled (boolean confirming Lightning payment settlement) and predicate_passed (boolean indicating whether the result met acceptance criteria).","failureModes":["Input body does not conform to required schema — returns validation error","PINN solver fails to converge — solution may be null with non-zero residual_loss","Payment not settled — settled: false returned, no result delivered","predicate_passed: false — solution returned but did not meet quality threshold","Unsupported method type (must be POST, PUT, or PATCH) — rejected at input","Body type mismatch between bodyType field and actual payload format"],"whenToPreferThis":"Choose this endpoint when you need a pay-per-call, provenance-tracked physics-informed neural network computation with built-in validation and residual loss reporting, especially in autonomous agent pipelines that require cryptographic payment settlement over Lightning. Prefer over generic cloud compute when you need scientific traceability (provenance), standardized validation metrics, and a marketplace-governed execution model rather than managing your own PINN infrastructure.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-15T00:46:11.339Z","isFirstParty":false}